Periodic Solutions of Sublinear Impulsive Differential Equations

Impulsive differential equations: Periodic solutions and applications

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Periodic Solutions of Second-order Nonautonomous Impulsive Differential Equations

The main purpose of this paper is to study the existence of periodic solutions of second order impulsive differential equations with superlinear nonlinear terms. Our result generalizes one of Paul H. Rabinowitz’s existence results of periodic solutions of second order ordinary differential equations to impulsive cases. Mountain Pass Lemma is applied in order to prove our main results. AMS Subje...

Periodic Solutions of Superlinear Impulsive Differential Systems

We develop continuation technique to obtain periodic solutions for superlinear planar differential systems of first order with impulses. Our approach was inspired by some works by Capietto, Mawhin and Zanolin in analogous problems without impulses and uses instead of Brouwer degree the much more elementary notion of essential map in the sense of fixed point theory. AMS (MOS) subject classificat...

Bifurcation of positive periodic solutions of first-order impulsive differential equations

Periodic Solutions of Nonlinear Partial Differential Equations

As the existence theory for solutions of nonlinear partial differential equations becomes better understood, one can begin to ask more detailed questions about the behavior of solutions of such equations. Given the bewildering complexity which can arise from relatively simple systems of ordinary differential equations, it is hopeless to try to describe fully the behavior which might arise from ...